10200210210000 has 300 divisors, whose sum is σ = 35739979145728. Its totient is φ = 2714842656000.

The previous prime is 10200210209989. The next prime is 10200210210059. The reversal of 10200210210000 is 1201200201.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 46961649 + ... + 47178351.

Almost surely, 2^{10200210210000} is an apocalyptic number.

10200210210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10200210210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17869989572864).

10200210210000 is an abundant number, since it is smaller than the sum of its proper divisors (25539768935728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10200210210000 is a wasteful number, since it uses less digits than its factorization.

10200210210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217260 (or 217236 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10200210210000 its reverse (1201200201), we get a palindrome (10201411410201).

The spelling of 10200210210000 in words is "ten trillion, two hundred billion, two hundred ten million, two hundred ten thousand".